Symmetry reductions and exact solutions of the (2 + 1)-dimensional Camassa–Holm Kadomtsev–Petviashvili equation

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• 作者：WANG ZHEN-LI ; LIU XI-QIANG
• 关键词：Lie group method ; g ; CH–KP equation ; symmetry reduction ; conservation laws ; exact solutions ; 02.20.Sv ; 02.20.Qs ; 02.20.?a
• 刊名：Pramana
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：85
• 期：1
• 页码：3-16
• 全文大小：1,364 KB
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• 作者单位：WANG ZHEN-LI (1)
  LIU XI-QIANG (1)
  
  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, Shandong, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111

文摘

In this paper, the classical Lie group method is employed to obtain exact travelling wave solutions of the generalized Camassa–Holm Kadomtsev–Petviashvili (g-CH–KP) equation. We give the conservation laws of the g-CH–KP equation. Using the symmetries, we find six classical similarity reductions of g-CH–KP equation. Many kinds of exact solutions of the g-CH–KP equation are derived by solving the reduced equations.